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42648848 = 2411713413
BaseRepresentation
bin1010001010110…
…0010100010000
32222020210012222
42202230110100
541404230343
64122040212
71025336444
oct242542420
988223188
1042648848
112208a790
1212349068
138ab3408
145942824
153b26a68
hex28ac510

42648848 has 40 divisors (see below), whose sum is σ = 91440576. Its totient is φ = 19107200.

The previous prime is 42648829. The next prime is 42648871. The reversal of 42648848 is 84884624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 42648799 and 42648808.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10790 + ... + 14202.

Almost surely, 242648848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42648848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720288).

42648848 is an abundant number, since it is smaller than the sum of its proper divisors (48791728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42648848 is a wasteful number, since it uses less digits than its factorization.

42648848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3497 counting only the distinct ones).

The product of its digits is 393216, while the sum is 44.

The square root of 42648848 is about 6530.6085474479. The cubic root of 42648848 is about 349.3835352491.

The spelling of 42648848 in words is "forty-two million, six hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 3413 6248 6826 12496 13652 27304 37543 54608 75086 150172 242323 300344 484646 600688 969292 1938584 2665553 3877168 5331106 10662212 21324424 42648848